Real analytic functions and monomial curves
Volume 71 / 2023
Bulletin Polish Acad. Sci. Math. 71 (2023), 53-63
MSC: 14Pxx.
DOI: 10.4064/ba230403-12-6
Published online: 26 June 2023
Abstract
We show that a function is real analytic at the origin iff it is arc-analytic, has a subanalytic graph, and its restriction to every monomial curve is analytic. This complements recent results of Kucharz and Kurdyka.
